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Mastering Differential Equations: The Visual Method

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Details

Provider

The Great Courses Plus
Pricing

Free Trial Available
Languages

English
Effort

12 hours 33 minutes
Sessions

Self-Paced
Level

Intermediate

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Overview

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Embark on an amazing mathematical journey in 24 intellectually stimulating and visually engaging half hour lectures.

Syllabus

01: What Is a Differential Equation?
02: A Limited-Growth Population Model
03: Classification of Equilibrium Points
04: Bifurcations-Drastic Changes in Solutions
05: Methods for Finding Explicit Solutions
06: How Computers Solve Differential Equations
07: Systems of Equations-A Predator-Prey System
08: Second-Order Equations-The Mass-Spring System
09: Damped and Undamped Harmonic Oscillators
10: Beating Modes and Resonance of Oscillators
11: Linear Systems of Differential Equations
12: An Excursion into Linear Algebra
13: Visualizing Complex and Zero Eigenvalues
14: Summarizing All Possible Linear Solutions
15: Nonlinear Systems Viewed Globally-Nullclines
16: Nonlinear Systems near Equilibria-Linearization
17: Bifurcations in a Competing Species Model
18: Limit Cycles and Oscillations in Chemistry
19: All Sorts of Nonlinear Pendulums
20: Periodic Forcing and How Chaos Occurs
21: Understanding Chaos with Iterated Functions
22: Periods and Ordering of Iterated Functions
23: Chaotic Itineraries in a Space of All Sequences
24: Conquering Chaos-Mandelbrot and Julia Sets
By This Professor

Taught by

Robert L. Devaney

Reviews

4.2 rating at The Great Courses Plus based on 52 ratings

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